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Question
Show that 11 × 19 × 23 + 3 × 11 is not a prime number.
Sum
Solution
We have
11 × 19 × 23 + 3 × 11
⇒ 11(19 × 23 + 3)
⇒ 11(437 + 3)
⇒ 11(440)
⇒ 11(2 × 2 × 2 × 5 × 11)
⇒ 2 × 2 × 2 × 5 × 11 × 11
As it can be represented as a product of more than two primes (1 and number itself). So, it is not a prime number.
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